Reduced-order observer design for a class of generalized Lipschitz nonlinear systems with time-varying delay

Yuxia Yang, Chong Lin, Bing Chen and Qing-Guo Wang

Applied Mathematics and Computation, 2018, vol. 337, issue C, 267-280

Abstract: This paper investigates the H∞ reduced-order observer design problem for a class of nonlinear systems with interval time-varying delay which satisfies the quadratically inner-bounded condition and encompasses the family of Lipschitz systems. A novel reduced-order observer design methodology for nonlinear systems is proposed. By utilizing a newly extended reciprocal convexity inequality, free-weighting matrix technique, and quadratically inner-bounded condition, the less conservative existence conditions of the proposed nonlinear H∞ observer are derived. The new sufficient conditions in terms of linear matrix inequalities (LMIs) guarantee asymptotic stability of the estimation error dynamics with a prescribed performance γ. Two numerical examples are given to illustrate the effectiveness of the proposed approach.

Keywords: Reduced-order observer design; Nonlinear H∞ filtering; Time-varying delay; One-sided Lipschitz condition; Quadratically inner-bounded condition; Linear matrix inequality (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:337:y:2018:i:c:p:267-280

DOI: 10.1016/j.amc.2018.05.011

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